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Finding the Fourth Proportional to 22,730.40, 34,100.96 and 7,148.03

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Solution

The fourth proportional to 22,730.40, 34,100.96 and 7,148.03 is: 10,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.40 : 34,100.96 = 7,148.03 : x
  2. Step 2: Convert to fraction form
    22,730.40/34,100.96 = 7,148.03/x
  3. Step 3: Cross multiply
    22,730.40x = 34,100.96 × 7,148.03
  4. Step 4: Simplify right side
    22,730.40x = 243,754,478.86
  5. Step 5: Solve for x
    x = 243,754,478.86/22,730.40
  6. Step 6: Final answer
    x = 10,723.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.